Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity

Abstract

We investigate the asymptotic symmetry algebra of (2+1)-dimensional higher spin, anti-de Sitter gravity. We use the formulation of the theory as a Chern-Simons gauge theory based on the higher spin algebra hs(1,1). Expanding the gauge connection around asymptotically anti-de Sitter spacetime, we specify consistent boundary conditions on the higher spin gauge fields. We then study residual gauge transformation, the corresponding surface terms and their Poisson bracket algebra. We find that the asymptotic symmetry algebra is a nonlinearly deformed W(infinity) algebra with classical central charges. We discuss implications of our results to quantum gravity and to various situations in string theory.

arXiv comment25 pages, no figure; v2. minor corrections, references added, v3. JHEP published version

References in corpus (18)

• The Large N Limit of Superconformal Field Theories and Supergravity
• The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
• Three-Dimensional Gravity Revisited
• On higher spins and the tensionless limit of String Theory
• String Lessons for Higher-Spin Interactions
• Asymptotic Dynamics and Asymptotic Symmetries of Three-Dimensional Extended AdS Supergravity
• How Does a Fundamental String Stretch its Horizon?
• Beyond the Large N Limit: Non-linear W(infinity) as symmetry of the SL(2,R)/U(1) coset model
• Anti-de Sitter/CFT Correspondence in Three-Dimensional Supergravity
• Results of the classification of superconformal algebras in two dimensions
• Fundamental Strings, Holography, and Nonlinear Superconformal Algebras
• Hawking radiation, W-infinity algebra and trace anomalies
• Fundamental Superstrings as Holograms
• Nonlinear ${\hat{W}}_{\infty }$ Current Algebra in the SL(2,R)/U(1) Coset Model
• Nearing the Horizon of a Heterotic String
• Exceptional Superconformal Algebras
• Hawking Fluxes, $W_{\infty }$ Algebra and Anomalies
• Green-Schwarz Superstring on AdS3 * S3

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